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Finding the Third Proportional to 132,864 and 229,248

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Solution

The third proportional to 132,864 and 229,248 is: 395,552.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,864 : 229,248 = 229,248 : x
  2. Step 2: Convert to fraction form
    132,864/229,248 = 229,248/x
  3. Step 3: Cross multiply
    132,864x = 229,248 × 229,248
  4. Step 4: Simplify right side
    132,864x = 52,554,645,504
  5. Step 5: Solve for x
    x = 52,554,645,504/132,864
  6. Step 6: Final answer
    x = 395,552.18

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.